饱和不饱和渗流有限元模拟的影响系数方法

A New Influence Coefficient Technique of Finite Element Model for Simulating Water Flow in Variably Saturated Porous Media

本文研究饱和不饱和渗流的有限元数值模拟。采用Picard迭代处理问题的非线性;建立了适合于任意四边形单元的系数矩阵计算的影响系数算法。对土壤吸水和堤坝渗流的计算表明,本文算法是成功的。

A Galerkin finite element formulation is developed for the numerical simulation of water flow in variably saturated porous media. Picard algorithm is used to cope with severely nonlinear field problems. The algorithm is formulated for arbitrary quadrilateral elements which can accommodate complex geometry. A new 'influence coefficient' technique is developed which can be used to compute element matrices in a simple and efficient manner. This technique avoids numerical integration and leads to a substantial saving of computational cost. Two examples are presented to verify the proposed algorithm.